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Finding the Third Proportional to 58,528 and 129,710

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Solution

The third proportional to 58,528 and 129,710 is: 287,463.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,528 : 129,710 = 129,710 : x
  2. Step 2: Convert to fraction form
    58,528/129,710 = 129,710/x
  3. Step 3: Cross multiply
    58,528x = 129,710 × 129,710
  4. Step 4: Simplify right side
    58,528x = 16,824,684,100
  5. Step 5: Solve for x
    x = 16,824,684,100/58,528
  6. Step 6: Final answer
    x = 287,463.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.